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Finding the Fourth Proportional to 199,959.37, 300,014.81 and 120,053.14

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Solution

The fourth proportional to 199,959.37, 300,014.81 and 120,053.14 is: 180,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,959.37 : 300,014.81 = 120,053.14 : x
  2. Step 2: Convert to fraction form
    199,959.37/300,014.81 = 120,053.14/x
  3. Step 3: Cross multiply
    199,959.37x = 300,014.81 × 120,053.14
  4. Step 4: Simplify right side
    199,959.37x = 36,017,719,987.00
  5. Step 5: Solve for x
    x = 36,017,719,987.00/199,959.37
  6. Step 6: Final answer
    x = 180,125.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.